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TABLE 15-6 Given Below Are Results from the Regression Analysis on 40

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TABLE 15-6
Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y) and the independent variables are the age of the worker (X₁), the number of years of education received (X₂), the number of years at the previous job (X₃), a dummy variable for marital status (X₄: 1 = married, 0 = otherwise), a dummy variable for head of household (X₅: 1 = yes, 0 = no) and a dummy variable for management position (X₆: 1 = yes, 0 = no).
The coefficient of multiple determination (R) for the regression model using each of the 6 variables Xⱼ as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993.
The partial results from best-subset regression are given below:
TABLE 15-6 Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y) and the independent variables are the age of the worker (X₁), the number of years of education received (X₂), the number of years at the previous job (X₃), a dummy variable for marital status (X₄: 1 = married, 0 = otherwise), a dummy variable for head of household (X₅: 1 = yes, 0 = no) and a dummy variable for management position (X₆: 1 = yes, 0 = no). The coefficient of multiple determination (R) for the regression model using each of the 6 variables Xⱼ as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993. The partial results from best-subset regression are given below:    -Referring to Table 15-6, the model that includes X₁, X₅ and X₆ should be selected using the adjusted r² statistic.
-Referring to Table 15-6, the model that includes X₁, X₅ and X₆ should be selected using the adjusted r² statistic.


Definitions:

Centralized Structure

An organizational structure where decision-making authority is concentrated at the top levels of management.

Organic Structure

Is a flexible, decentralized organizational structure with less formal procedures, open communication channels, and a focus on adaptability and teamwork.

Decentralized Decision

A management strategy where decision-making powers are distributed among various levels of the organization rather than being concentrated at the top.

Narrow Span

a management structure where a supervisor oversees a small number of subordinates, allowing for close supervision and control.

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